Bellman function for extremal problems in BMO II evolution

"In a previous study, the authors built the Bellman function for integral functionals on the BMO space. The present paper provides a development of the subject. We abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach tha...

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Bibliographische Detailangaben
1. Verfasser: Ivanisvili, Paata (VerfasserIn)
Weitere Verfasser: Stolyarov, Dmitriy (VerfasserIn), Vasjunin, V. I. (VerfasserIn), Zatitskiy, Pavel B. (VerfasserIn)
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Sprache:eng
Veröffentlicht: Providence, RI American Mathematical Society September 2018
Schriftenreihe:Memoirs of the American Mathematical Society volume 255, number 1220
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Beschreibung
Zusammenfassung:"In a previous study, the authors built the Bellman function for integral functionals on the BMO space. The present paper provides a development of the subject. We abandon the majority of unwanted restrictions on the function that generates the functional. It is the new evolutional approach that allows us to treat the problem in its natural setting. What is more, these new considerations lighten dynamical aspects of the Bellman function, in particular, evolution of its picture"--
Setting and sketch of proof -- Patterns for Bellman candidates -- Evolution of Bellman candidates -- Optimizers -- Related questions and further development
Beschreibung:"September 2018, volume 255, number 1220 (third of 7 numbers)
Includes bibliographical references and index
Beschreibung:v, 136 Seiten
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ISBN:9781470429546
978-1-4704-2954-6